Answer: Rewrite equations:
5x+y=−13;6x+6y=−6
Step: Solve5x+y=−13for y:
5x+y=−13
5x+y+−5x=−13+−5x(Add -5x to both sides)
y=−5x−13
Step: Substitute−5x−13foryin6x+6y=−6:
6x+6y=−6
6x+6(−5x−13)=−6
−24x−78=−6(Simplify both sides of the equation)
−24x−78+78=−6+78(Add 78 to both sides)
−24x=72
−24x
−24
=
72
−24
(Divide both sides by -24)
x=−3
Step: Substitute−3forxiny=−5x−13:
y=−5x−13
y=(−5)(−3)−13
y=2(Simplify both sides of the equation)
Answer:
x=−3 and y=2
Step-by-step explanation:
Answer:
Out of all the choices given A. seems to fit best.
The initial value is 500 so the beginning should be A(n) = 500
The rate of increase is 4% so you would put that into decimal form of 0.04
Then you plug in 0.04 into (n - 1) and since we know that it is increasing you would put (1 + 0.04)
And the question asked to find the account's balance at the beginning of year 5 so plug 5 into n in the equation
A(n) = 500(1 + 1.04)^5 = 608.33
Hope this helps!
Approaching algebraicly(Take 2 as x)
(-x)^3-x^3
Simplify
Result is -2x^3
Put back 2
-2(2)^3 = -2(8)
= -16
8 inches is the answer first you divide 23 by 2 which gives you 11.5 then 92÷11.5=8 you do it this way because of the formula you use for area with a triangle 1/2 base times height
Answer:
30 trees/acre
Step-by-step explanation:
Let n = the number of trees added to 1 acre
Let Y(n) = the yield in bushels/acre
Yield in bushels/acre = [bushels/tree] x [trees/acre]
Y(n) = (40-n)*(20+n)
= 800 - 20n + 40n - n^2
= n^2 + 20n + 800 ---------------------(1)
The n-value of the vertex ( which is a peak ) is given by the formula:
n(max) = -b/2a
Putting values from equation (1) gives us
n(max) = 10
The grower started with 20 tree/acre and adds 10 more for max yield, so she should plant: 30 trees/acre
and
Maximum yield is 900 bushels/acre.
